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Popular >

integral of (x+8)^6

Solution

\int (x + 8)^{6} d x

Solution

\frac{( x + 8 ) ^{7}}{7} + C

Solution steps

\int (x + 8)^{6} d x

Apply u-substitution

: \int u^{6} d u

= \int u^{6} d u

Apply the Power Rule

: \frac{u ^{7}}{7}

= \frac{u ^{7}}{7}

Substitute back

u = x + 8

= \frac{( x + 8 ) ^{7}}{7}

Add a constant to the solution

= \frac{( x + 8 ) ^{7}}{7} + C

Popular Examples

integral of sqrt(x^2-7)

\int x^{2} - 7 d x

integral of 2-2/x

\int 2 - \frac{2}{x} d x

integral of (2x-10)/(x^2-10x+106)

\int \frac{2 x - 10}{x ^{2} - 10 x + 106} d x

integral of (-5x^3)/(x^3+1)

\int \frac{- 5 x ^{3}}{x ^{3} + 1} d x

integral of (4x^3+x+1)/((x-1)(x^2+x+1))

\int \frac{4 x ^{3} + x + 1}{( x - 1 ) ( x ^{2} + x + 1 )} d x

Frequently Asked Questions (FAQ)

What is the integral of (x+8)^6 ?
The integral of (x+8)^6 is ((x+8)^7)/7+C